Solution:
Simplify the inequality and solve.
The simplified inequality is 1 < k.
[tex] \sf20 < k + 19[/tex]
Move the variable to the left-hand side and change its sign
[tex] \sf20 - k < 19[/tex]
Move the constant to the right-hand side and change its sign
[tex] \sf \: - k < 19 - 20[/tex]
Calculate the difference
[tex] \sf \: - k < - 1[/tex]
Change the signs on both sides of the inequality and flip the inequality sign
[tex] \boxed{ \tt \: k > 1}[/tex]